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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Volume: 69 Issue: 2

On doubly warped products

Sibel Gerdan Aydın(İSTANBUL ÜNİVERSİTESİ, FEN FAKÜLTESİ)0000-0001-5278-6066
Hakan Mete Taştan(İSTANBUL ÜNİVERSİTESİ, FEN FAKÜLTESİ)0000-0002-0773-9305
Pages
—
Publication Date
2020-12-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

As a result, we prove the non-existence of Einstein proper doubly warped product pseudo-Riemannian manifold of dimension grater or equal than 4. . .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We give a new characterization for doubly warped products by using the geometry of their canonical foliations intersecting perpendicularly.
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Key Findings & Data:We also give a necessary and sufficient condition for a doubly warped product to be a warped or a direct product.
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Conclusion & Impact:As a result, we prove the non-existence of Einstein proper doubly warped product pseudo-Riemannian manifold of dimension grater or equal than 4. . .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Doubly warped product · warped product · direct product

Abstract

We give a new characterization for doubly warped products by using the geometry of their canonical foliations intersecting perpendicularly. We also give a necessary and sufficient condition for a doubly warped product to be a warped or a direct product. As a result, we prove the non-existence of Einstein proper doubly warped product pseudo-Riemannian manifold of dimension grater or equal than 4. . .

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Cite This Article

Aydın, S. G., Taştan, H. M. (2020). On doubly warped products. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 2. https://doi.org/10.31801/cfsuasmas.635048

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